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Dynamical active particles in the overdamped limit 过阻尼极限中的动态活动粒子
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-02 DOI: 10.1088/2399-6528/ad5b38
Diego M Fieguth
Mobile microscopic bodies, such as motile cells, can be modelled phenomenologically as ‘active particles’ which can move against external forces by depleting an internal energy depot. The microscopic mechanisms underlying such ‘active’ behaviour must ultimately obey fundamental physics: energy depots must actually consist of dynamical degrees of freedom, such as chemical reaction coordinates, which in some way couple to the particle’s motional degrees of freedom. As a step towards connecting phenomenological models with microscopic dynamical mechanisms, recent papers have studied the minimalistic dynamical mechanism of a ‘dynamical active particle’, and shown how nonlinear couplings can allow steady energy transfer from depot to motion, even in the presence of weak dissipation. Most real active particles move through viscous environments, however, and are strongly damped. Here we therefore generalize the dynamical active particle into the overdamped regime. We find that its mechanism still operates, and in particular allows the overdamped active particle to travel just as far against friction as the undamped model, by moving at a slower average speed. Our results suggest that active particle phenomenology can indeed be consistent with comprehensible dynamical mechanisms, even in strongly dissipative environments.
移动微观体,如运动细胞,可以被模拟为 "活跃粒子",它们可以通过消耗内部能量库来对抗外力。这种 "活跃 "行为的微观机制最终必须符合基础物理学:能量库实际上必须由动力学自由度(如化学反应坐标)组成,这些自由度以某种方式与粒子的运动自由度耦合。作为将现象学模型与微观动力学机制联系起来的一个步骤,最近的论文研究了 "动力学活性粒子 "的最小动力学机制,并展示了非线性耦合如何使能量从储存库稳定地转移到运动中,即使在存在微弱耗散的情况下也是如此。然而,大多数真实的活跃粒子都在粘性环境中运动,并且具有很强的阻尼。因此,我们在此将动力学活性粒子概括为过阻尼机制。我们发现其机制仍然有效,特别是允许过阻尼活性粒子以较慢的平均速度在无阻尼模型中一样远的摩擦力下运动。我们的结果表明,即使在强耗散环境中,活跃粒子现象学也确实可以与可理解的动力学机制保持一致。
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引用次数: 0
Wavefunction collapse driven by non-Hermitian disturbance 非赫米提干扰驱动的波函数坍缩
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-01 DOI: 10.1088/2399-6528/ad5b37
Jorge Martínez Romeral, Luis E F Foa Torres and Stephan Roche
In the context of the measurement problem, we propose to model the interaction between a quantum particle and an ‘apparatus’ through a non-Hermitian Hamiltonian term. We simulate the time evolution of a normalized quantum state split into two spin components (via a Stern–Gerlach experiment) and that undergoes a wavefunction collapse driven by a non-Hermitian Hatano-Nelson Hamiltonian. We further analyze how the strength and other parameters of the non-Hermitian perturbation influence the time-to-collapse of the wave function obtained under a Schödinger-type evolution. We finally discuss a thought experiment where manipulation of the apparatus could challenge standard quantum mechanics predictions.
在测量问题的背景下,我们建议通过非ermitian 哈密顿项来模拟量子粒子与 "仪器 "之间的相互作用。我们模拟了被分成两个自旋分量的归一化量子态的时间演化(通过斯特恩-格拉赫实验),该量子态在非ermitian Hatano-Nelson Hamiltonian 的驱动下发生波函数坍缩。我们进一步分析了非ermitian扰动的强度和其他参数如何影响在薛定谔型演化下获得的波函数的坍缩时间。最后,我们讨论了一个思想实验,在这个实验中,对仪器的操作可能会挑战标准量子力学的预测。
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引用次数: 0
Simple circuit and experimental proposal for the detection of gauge-waves 探测规波的简单电路和实验建议
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-29 DOI: 10.1088/2399-6528/ad4e98
F Minotti and G Modanese
Aharonov-Bohm electrodynamics predicts the existence of traveling waves of pure potentials, with zero electromagnetic fields, denoted as gauge waves, or g-waves for short. In general, these waves cannot be shielded by matter since their lack of electromagnetic fields prevents the material from reacting to them. However, a not-locally-conserved electric current present in the material does interact with the potentials in the wave, giving the possibility of its detection. In [1] the basic theoretical description of a detecting circuit was presented, based on a phenomenological theory of materials that can sustain not-locally-conserved electric currents. In the present work we discuss how that circuit can be built in practice, and used for the effective detection of g-waves.
阿哈诺夫-玻姆电动力学预言存在纯电势的行波,其电磁场为零,称为规波,简称 g 波。一般来说,这些波不能被物质屏蔽,因为它们没有电磁场,物质无法对它们产生反应。然而,存在于物质中的非局部守恒的电流确实会与波中的电势相互作用,从而为探测它提供了可能。文献[1]基于能维持非局部守恒电流的材料现象学理论,提出了探测电路的基本理论描述。在本研究中,我们将讨论如何在实践中构建该电路,并用于有效探测 g 波。
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引用次数: 0
Entanglement entropy of the maximum geminal of the BCS ground state BCS 基本态最大 geminal 的纠缠熵
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-04-17 DOI: 10.1088/2399-6528/ad3b63
Katsuhiko Higuchi, Itsuki Tanno, Ryo Ito, Masahiko Higuchi
From the viewpoint of the Bose–Einstein condensation (BEC) of the fermion system, the maximum geminal of the second-order reduced density matrix of the superconducting state exactly corresponds to the Cooper pair. In this paper the entanglement entropy (EE) for the maximum geminal of the BCS ground state is evaluated. The EE behaves logarithmically with respect to the number of the maximum geminal. Furthermore, the disappearance point of superconductivity is defined on the basis of the fermion BEC. In the superconducting ground state, almost all electrons in the energy width of the gap parameter near the Fermi level are condensed as a maximum geminal. They suddenly change to normal electrons with a finite gap of the EE at the disappearance point like a first-order phase transition.
从费米子系统玻色-爱因斯坦凝聚(BEC)的角度来看,超导态二阶还原密度矩阵的最大geminal正好对应于库珀对。本文评估了 BCS 基态最大geminal 的纠缠熵(EE)。EE 与最大 geminal 的数量呈对数关系。此外,超导消失点是在费米子 BEC 的基础上定义的。在超导基态中,在费米级附近的间隙参数能宽中,几乎所有电子都凝聚为最大基边。它们在消失点突然转变为具有有限间隙 EE 的普通电子,就像一阶相变一样。
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引用次数: 0
Local resetting in non-conserving zero-range processes with extensive rates 具有广泛速率的非守恒零程过程中的局部重置
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-04-17 DOI: 10.1088/2399-6528/ad3b62
Pascal Grange
A non-conserving zero-range process with extensive creation, annihilation and hopping rates is subjected to local resetting. The model is formulated on a large, fully-connected network of states. The states are equipped with a (bounded) fitness level: particles are added to each state at a rate proportional to the fitness level of the state. Moreover, particles are annihilated at a constant rate, and hop at a fixed rate to a uniformly-drawn state in the network. This model has been interpreted in terms of population dynamics: the fitness is the reproductive fitness in a haploid population, and the hopping process models mutation. It has also been interpreted as a model of network growth with a fixed set of nodes (in which particles occupying a state are interpreted as links pointing to this state). In the absence of resetting, the model is known to reach a steady state, which in a certain limit may exhibit a condensate at maximum fitness. If the model is subjected to global resetting by annihilating all particles at Poisson-distributed times, there is no condensation in the steady state. If the system is subjected to local resetting, the occupation numbers of each state are reset to zero at independent random times. These times are distributed according to a Poisson process whose rate (the resetting rate) depends on the fitness. We derive the evolution equation satisfied by the probability law of the occupation numbers. We calculate the average occupation numbers in the steady state. The existence of a condensate is found to depend on the local behavior of the resetting rate at maximum fitness: if the resetting rate vanishes at least linearly at high fitness, a condensate appears at maximum fitness in the limit where the sum of the annihilation and hopping rates is equal to the maximum fitness.
非守恒零程过程具有广泛的创造、湮灭和跳跃率,并受到局部重置的影响。该模型是在一个大型、完全连接的状态网络上建立的。这些状态都有一个(有约束的)适应度水平:粒子以与状态适应度水平成正比的速率加入每个状态。此外,粒子以恒定的速率湮灭,并以固定的速率跳转到网络中统一绘制的状态。这个模型被解释为种群动力学模型:适合度是单倍体种群的繁殖适合度,跳跃过程是突变的模型。它也被解释为一个具有固定节点集的网络增长模型(其中占据某一状态的粒子被解释为指向该状态的链接)。众所周知,在没有重置的情况下,该模型会达到一个稳定状态,并在一定限度内表现出最大适合度的凝聚态。如果模型在泊松分布的时间内湮灭所有粒子,从而进行全局重置,稳态中就不会出现凝集。如果系统进行局部重置,则每个状态的占据数都会在独立的随机时间重置为零。这些时间按照泊松过程分布,泊松过程的速率(重置速率)取决于适应度。我们推导出占领数概率规律所满足的演化方程。我们计算了稳定状态下的平均占据数。我们发现凝聚态的存在取决于重置率在最大适合度时的局部行为:如果重置率在高适合度时至少线性消失,那么在湮灭率和跳跃率之和等于最大适合度的极限时,凝聚态就会出现在最大适合度处。
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引用次数: 0
Analysis of the weighted conical Radon transform 加权锥形拉顿变换分析
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-03-27 DOI: 10.1088/2399-6528/ad2b8d
Nguyen Ngoc Duy
In this article, we consider the weighted conical Radon transform—the transform is motivated by Compton camera imaging as well as optical tomography. Our contribution involves introducing new inversion formulas for the weighted conical Radon transform, including explicit formulas and properties associated with convolution frames. Furthermore, we propose reconstruction formulas that solve for variety weighted parameters in the two-dimensional space.
在这篇文章中,我们考虑了加权锥形拉顿变换--康普顿相机成像和光学层析成像都是采用这种变换的原因。我们的贡献在于为加权锥形拉顿变换引入了新的反演公式,包括与卷积帧相关的明确公式和属性。此外,我们还提出了在二维空间中求解各种加权参数的重建公式。
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引用次数: 0
Fast coherent control of nitrogen-14 spins associated with nitrogen-vacancy centers in diamonds using dynamical decoupling 利用动态解耦快速连贯控制钻石中与氮空位中心相关的氮-14 自旋
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-03-07 DOI: 10.1088/2399-6528/ad2b8b
Kosuke Mizuno, Ikuya Fujisaki, Hiroyoshi Tomioka, Hitoshi Ishiwata, Shinobu Onoda, Takayuki Iwasaki, Keigo Arai, Mutsuko Hatano
A nitrogen-vacancy (NV) center in a diamond enables the access to an electron spin, which is expected to present highly sensitive quantum sensors. Although exploiting a nitrogen nuclear spin improves the sensitivity, manipulating it using a resonant pulse requires a long gate time owing to its small gyromagnetic ratio. Another technique to control nuclear spins is a conditional rotation gate based on dynamical decoupling, which is faster but unavailable for nitrogen spins owing to the lack of transverse hyperfine coupling with the electron spin. In this study, we generated effective transverse coupling by applying a weak off-axis magnetic field. An effective coupling depends on the off-axis field; the conditional rotation gate on the nitrogen-14 spins of an NV center was demonstrated within 4.2 μs under an 1.8% off-axis field and a longitudinal field of approximately 280 mT. We estimated that a population transfer from the electron to nitrogen spins can be implemented with 8.7 μs. Our method is applicable to an ensemble of NV centers, in addition to a single NV center.
金刚石中的氮空位(NV)中心能够获得电子自旋,有望成为高灵敏度的量子传感器。虽然利用氮核自旋可以提高灵敏度,但由于其回旋磁比很小,使用共振脉冲对其进行操纵需要较长的栅极时间。另一种控制核自旋的技术是基于动态解耦的条件旋转门,这种方法速度较快,但由于缺乏与电子自旋的横向超频耦合,氮自旋无法使用。在这项研究中,我们通过施加微弱的离轴磁场产生了有效的横向耦合。有效耦合取决于离轴磁场;在 1.8% 的离轴磁场和大约 280 mT 的纵向磁场下,NV 中心氮-14 自旋的条件旋转门在 4.2 μs 内被证明。我们估计,从电子到氮自旋的种群转移可在 8.7 μs 内完成。除了单个 NV 中心外,我们的方法还适用于 NV 中心的集合。
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引用次数: 0
Application of Jacobi stability analysis to a first-order dynamical system: relation between nonlinearizability of one-dimensional differential equation and Jacobi stable region 雅可比稳定性分析在一阶动力系统中的应用:一维微分方程的非线性化与雅可比稳定区域之间的关系
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-03-05 DOI: 10.1088/2399-6528/ad2b8c
Yuma Hirakui, Takahiro Yajima
In this study, we discuss Jacobi stability in equilibrium and nonequilibrium regions for a first-order one-dimensional system using deviation curvatures. The deviation curvature is calculated using the Kosambi-Cartan-Chern theory, which is applied to second-order differential equations. The deviation curvatures of the first-order one-dimensional differential equations are calculated using two methods as follows. Method 1 is only differentiating both sides of the equation. Additionally, Method 2 is differentiating both sides of the equation and then substituting the original equation into the second-order system. From the general form of the deviation curvatures calculated using each method, the analytical results are obtained as (A), (B), and (C). (A) Equilibrium points are Jacobi unstable for both methods; however, the type of equilibrium points is different. In Method 1, the equilibrium point is a nonisolated fixed point. Conversely, the equilibrium point is a saddle point in Method 2. (B) When there is a Jacobi stable region, the size of the Jacobi stable region in the Method 1 is different from that in Method 2. Especially, the Jacobi stable region in Method 1 is always larger than that in Method 2. (C) When there are multiple equilibrium points, the Jacobi stable region always exists in the nonequilibrium region located between the equilibrium points. These results are confirmed numerically using specific dynamical systems, which are given by the logistic equation and its evolution equation with the Hill function. From the results of (A) and (B), differences in types of equilibrium points affect the size of the Jacobi stable region. From (C), the Jacobi stable regions appear as nonequilibrium regions where the equations cannot be linearized.
在本研究中,我们利用偏差曲率讨论了一阶一维系统在平衡和非平衡区域的雅可比稳定性。偏差曲率的计算采用了适用于二阶微分方程的 Kosambi-Cartan-Chern 理论。一阶一维微分方程的偏差曲率采用以下两种方法计算。方法 1 只对方程两边进行微分。此外,方法 2 是微分方程两边,然后将原始方程代入二阶系统。根据每种方法计算出的偏差曲率的一般形式,可得出(A)、(B)和(C)的分析结果。(A) 两种方法的平衡点都是雅可比不稳定的,但平衡点的类型不同。在方法 1 中,平衡点是一个非孤立的固定点。相反,在方法 2 中,平衡点是一个鞍点。 (B) 当存在雅可比稳定区域时,方法 1 中雅可比稳定区域的大小与方法 2 中的不同。(C) 当存在多个平衡点时,雅可比稳定区域总是存在于平衡点之间的非平衡区域。这些结果通过具体的动力学系统得到了数值证实,这些动力学系统由 logistic 方程及其希尔函数演化方程给出。从(A)和(B)的结果来看,平衡点类型的不同会影响雅可比稳定区域的大小。从(C)的结果来看,雅可比稳定区域是方程无法线性化的非平衡区域。
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引用次数: 0
Inkjet-printed quantum dots on paper as concept towards high-density long-term data storage 纸张上的喷墨打印量子点是实现高密度长期数据存储的概念
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-12 DOI: 10.1088/2399-6528/ad246d
Nils Mengel, Marius Welzel, Woldemar Niedenthal, Markus Stein, Dominik Heider, Sangam Chatterjee
Handling and storing the immense amounts of data native to the information age is a major challenge in terms of technological sustainability and energy demand. To date, tape storage remains the most widespread method for data archiving, while DNA data storage appears to offer the best data density and long-term stability in the future. However, DNA data storage is still in its infancy primarily due to economic and accessibility challenges. This emphasizes the need for more practical and readily available alternatives. We present a method for data storage utilizing inkjet printable quantum dots on paper with photoluminescence (PL) readout. Our proof of principle study showcases the ability to print and stack multiple bits of data on a single spot by exploiting the unique PL properties of quantum dots. This approach utilizes easily accessible resources, including a consumer-grade printer and paper as the substrate. Additionally, we perform initial stability tests, investigate scalability by controlling emission intensity, and evaluate the potential data density achievable by our approach.
处理和存储信息时代的海量数据是技术可持续性和能源需求方面的一大挑战。迄今为止,磁带存储仍是最普遍的数据存档方法,而 DNA 数据存储似乎在未来能提供最佳的数据密度和长期稳定性。然而,DNA 数据存储仍处于起步阶段,这主要是由于经济和可访问性方面的挑战。因此,我们需要更实用、更容易获得的替代品。我们提出了一种在纸上利用可喷墨打印量子点和光致发光(PL)读出进行数据存储的方法。我们的原理验证研究展示了利用量子点独特的光致发光特性在一个点上打印和堆叠多比特数据的能力。这种方法利用了容易获得的资源,包括消费级打印机和作为基底的纸张。此外,我们还进行了初步的稳定性测试,通过控制发射强度研究了可扩展性,并评估了我们的方法所能达到的潜在数据密度。
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引用次数: 0
Electron density analysis of two-electron systems confined by prolate spheroids with hard walls 由硬壁增大球体限制的双电子系统的电子密度分析
IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-02-12 DOI: 10.1088/2399-6528/ad246e
Heichi Yanajara-Parra, Adalberto Corella-Madueño, F Adrián Duarte-Alcaraz, Rubicelia Vargas, Jorge Garza
The electron density of two-electron systems, He and H2, was analyzed when prolate spheroids with hard walls confine these systems. For this purpose, Hartree–Fock equations were solved using Roothaan's approach with a basis set defined in prolate spheroidal coordinates imposing Dirichlet boundary conditions. Total energy, its components, and orbital energies were analyzed for several confinements, and some of these results were compared with those reported by other authors to test the performance of the proposed approach. For both systems, the electron density exhibits a maximum value out of the nuclear region for extreme confinements. The chemical bond for H2 was analyzed through the concepts of the quantum theory of atoms in molecules, concluding that the chemical bond of this molecule disappears under extreme conditions. For this system, estimations of the correlation energy indicate that this is a small contribution to the total energy, and the Hartree–Fock method contains the necessary elements to describe the chemical bond for strong confinements.
研究分析了当带有硬壁的原形球体约束 He 和 H2 这两个双电子系统时的电子密度。为此,使用 Roothaan 方法求解了哈特里-福克方程,该方法的基集定义在增殖球面坐标中,并施加了 Dirichlet 边界条件。分析了几种约束条件下的总能量、其分量和轨道能量,并将其中一些结果与其他作者报告的结果进行了比较,以检验拟议方法的性能。对于这两个系统,在极端束缚条件下,电子密度在核区域外显示出最大值。通过分子中原子的量子理论概念分析了 H2 的化学键,得出结论认为该分子的化学键在极端条件下会消失。对这一系统的相关能的估计表明,它对总能的贡献很小,哈特里-福克方法包含了描述强约束下化学键的必要元素。
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引用次数: 0
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Journal of Physics Communications
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